Atkin-Lehner |
2+ 3+ 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330a |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-11199600 = -1 · 24 · 33 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,101] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] |
Generators of the group modulo torsion |
j |
368601813/414800 |
j-invariant |
L |
4.5455917928004 |
L(r)(E,1)/r! |
Ω |
1.5109155674166 |
Real period |
R |
1.5042507671352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330bb1 |
Quadratic twists by: -3 |